Principles of Counting Make a tree diagram to find the number choices that are possible. Then check your answer using the counting principle. 1) Choose apple, blueberry, lemon, cherry pie with juice or tea. 2) Choose a small, medium, or large shirt in yellow, red, or blue. 3) Choose a car or truck with a tape player, bluetooth, or a CD player. 4) Choose a hat or a scarf in gray, white or black. 5) Choose a burger, french fries or sandwich with a softdrink, juice or water. 6) Choose a bag, shoe, shirt with red, blue, yellow, or green. 7) Choose a subject Math, Science, English, Filipino or Religion with easy, average or difficult. 8) Choose a number 7, 8, or 9 with 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. 9) Choose a color in the rainbow with cellphone case, wallpaper, lockscreen background. 10) Choose a breakfast, lunch or dinner with rice or bread and with egg, vegetables, or meat.Principles of Counting: Problem Solving Solve the following using counting principles. Use another sheet of paper if needed. 1) Kathy plans to pick up a package form the post office after school before going home. Close to her school, there are 5 jeepney routes and 2 tricycle routes going to the post office. From the post office, there are 3 jeepney routes and 4 tricycle routes for Kathy to go back home. How many routes are there for Kathy to go to the post office from school and then go back home? 2) Tonight, Angie is planning to have a dinner at restaurant A, B, or C which provides different styles of dish. Restaurant A provides 3 choices of main course and 2 choices of soup. Restaurant B provides 4 choices of main course and 3 choices of soup. Restaurant C provides 5 choices of main course and 3 choices of soup. If Angie orders a main course and a soup, how many options are available for her